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| Time: |
Mo 12:30-13:30, Wed 11:30-12:30, Th 13:30-14:30 |
| Place: | Rooms 118, 126 (Th), Jeffery Hall |
| Instructor: |
Dr. Ernst Kani Room 211, Jeffery Hall Telephone: 533-2435 Email: kani@mast.queensu.ca |
| Office hours:
half an hour after each class (except Thurdays) and as given
below or by appointment: |
|
Mo 13:30 - 14:00 Wed 12:30 - 13:00 Wed 14:30 - 15:30 Thu 12:30 - 13:20 |
| Marking scheme: (tentative) |
Assignments October Mid-term test Christmas exam February Mid-term test Final exam |
15.0% 7.5% 30.0% 7.5% 40.0% _______ 100.0% |
| Assignments: | Due Thursdays at 13:30 |
| MAPLE Lab: | Mo, 19 September, 2011, 12:30-1:30, Room 155 JEF |
| Mid-term tests: | Monday, 17 October, 2011,
12:30-13:30 Monday, 5 March, 2012, 12:30-13:30 |
| Christmas exam: | 12 December 2011, 14:00-16:00, Stirling A |
| Final exam: | April, 2012
|
| Textbook: | E. Kani, N. J. Pullman, N. M. Rice, Algebraic Methods, Queen's University, 2011. |
| PC software: | MAPLE - installed on PC's in Jefflab (JEF 155/157) |
| Integers: |
- Greatest common divisor (gcd), Euclidean algorithm (ch. 1) - Linear Diophantine equations (ch. 1) - Modular arithmetic (ch. 2) - Public key cryptography (ch. 2) |
| Polynomials: |
- Review of complex numbers (ch. 3) - Gcd, Euclidean algorithm (ch. 3) |
| Approximation: |
- Data fitting: Lagrange interpolation formula, Least square approximation (ch. 4) |
| Matrices: |
- Matrix polynomials, discrete linear systems (ch. 5) - Applications of Jordan canonical form (ch. 6,7) - Powers of matrices, stochastic matrices (ch. 7) |
| Groups: |
- Permutation groups, cycles, Burnside's theorem, application to colouring problems (ch. 8) |
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| Page Last Updated: September, 2011 |